Squares & Square Roots Lesson 1 By Ms.Simran Chandna RollNO : 10 Std : V111 C

Square Numbers :

Square Numbers 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 4 x 4 = 16 5 x 5 = 25 6 x 6 = 36 7 x 7 = 49 8 x 8 = 64 9 x 9 = 81 10 x 10 = 100 11 x 11 = 121 12 x 12 = 144 13 x 13 = 169 14 x 14 = 196 15 x 15 = 225

Square Numbers:

Square Numbers One property of a perfect square is that it can be represented by a square array. Each small square in the array shown has a side length of 1cm. The large square has a side length of 4 cm. 4cm 4cm 16 cm 2

Square Numbers:

Square Numbers The large square has an area of 4cm x 4cm = 16 cm 2 . The number 4 is called the square root of 16. We write: 4 = 16 4cm 4cm 16 cm 2

Finding Square Roots :

Finding Square Roots 256 = 4 x Find the square root of 256 64 = 2 x 8 = 16

Squares & Square Roots:

Squares & Square Roots Estimating Square Root

Square Roots:

Square Roots Not all numbers are perfect squares. Not every number has an Integer for a square root. We have to estimate square roots for numbers between perfect squares.

Perfect and non perfect squares:

Perfect and non perfect squares of above numbers, 4,25,64,81,100 are squares of integers. A number like this which is the square of an integer is called a perfect square. The numbers, 2,3,5,20,27,93 are not the squares of any integer. and in other words, these numbers are not perfect square.

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